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Finding the Fourth Proportional to 8,232.44, 12,350.48 and 3,847.50

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Solution

The fourth proportional to 8,232.44, 12,350.48 and 3,847.50 is: 5,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.44 : 12,350.48 = 3,847.50 : x
  2. Step 2: Convert to fraction form
    8,232.44/12,350.48 = 3,847.50/x
  3. Step 3: Cross multiply
    8,232.44x = 12,350.48 × 3,847.50
  4. Step 4: Simplify right side
    8,232.44x = 47,518,452.56
  5. Step 5: Solve for x
    x = 47,518,452.56/8,232.44
  6. Step 6: Final answer
    x = 5,772.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.